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Finding the Fourth Proportional to 9,095.36, 13,691.04 and 7,759.04

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Solution

The fourth proportional to 9,095.36, 13,691.04 and 7,759.04 is: 11,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.36 : 13,691.04 = 7,759.04 : x
  2. Step 2: Convert to fraction form
    9,095.36/13,691.04 = 7,759.04/x
  3. Step 3: Cross multiply
    9,095.36x = 13,691.04 × 7,759.04
  4. Step 4: Simplify right side
    9,095.36x = 106,229,327.00
  5. Step 5: Solve for x
    x = 106,229,327.00/9,095.36
  6. Step 6: Final answer
    x = 11,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.